| Index: fusl/src/math/sinh.c
|
| diff --git a/fusl/src/math/sinh.c b/fusl/src/math/sinh.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..00022c4e6ff6d8250ea238207a12199a1e349dac
|
| --- /dev/null
|
| +++ b/fusl/src/math/sinh.c
|
| @@ -0,0 +1,39 @@
|
| +#include "libm.h"
|
| +
|
| +/* sinh(x) = (exp(x) - 1/exp(x))/2
|
| + * = (exp(x)-1 + (exp(x)-1)/exp(x))/2
|
| + * = x + x^3/6 + o(x^5)
|
| + */
|
| +double sinh(double x)
|
| +{
|
| + union {double f; uint64_t i;} u = {.f = x};
|
| + uint32_t w;
|
| + double t, h, absx;
|
| +
|
| + h = 0.5;
|
| + if (u.i >> 63)
|
| + h = -h;
|
| + /* |x| */
|
| + u.i &= (uint64_t)-1/2;
|
| + absx = u.f;
|
| + w = u.i >> 32;
|
| +
|
| + /* |x| < log(DBL_MAX) */
|
| + if (w < 0x40862e42) {
|
| + t = expm1(absx);
|
| + if (w < 0x3ff00000) {
|
| + if (w < 0x3ff00000 - (26<<20))
|
| + /* note: inexact and underflow are raised by expm1 */
|
| + /* note: this branch avoids spurious underflow */
|
| + return x;
|
| + return h*(2*t - t*t/(t+1));
|
| + }
|
| + /* note: |x|>log(0x1p26)+eps could be just h*exp(x) */
|
| + return h*(t + t/(t+1));
|
| + }
|
| +
|
| + /* |x| > log(DBL_MAX) or nan */
|
| + /* note: the result is stored to handle overflow */
|
| + t = 2*h*__expo2(absx);
|
| + return t;
|
| +}
|
|
|